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Finding the Fourth Proportional to 41,803.84, 57,688 and 22,940.48

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Solution

The fourth proportional to 41,803.84, 57,688 and 22,940.48 is: 31,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,803.84 : 57,688 = 22,940.48 : x
  2. Step 2: Convert to fraction form
    41,803.84/57,688 = 22,940.48/x
  3. Step 3: Cross multiply
    41,803.84x = 57,688 × 22,940.48
  4. Step 4: Simplify right side
    41,803.84x = 1,323,390,410.24
  5. Step 5: Solve for x
    x = 1,323,390,410.24/41,803.84
  6. Step 6: Final answer
    x = 31,657.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.